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Simplifying 6r + 3(-4r + 2) + -3 = 21 Reorder the terms: 6r + 3(2 + -4r) + -3 = 21 6r + (2 * 3 + -4r * 3) + -3 = 21 6r + (6 + -12r) + -3 = 21 Reorder the terms: 6 + -3 + 6r + -12r = 21 Combine like terms: 6 + -3 = 3 3 + 6r + -12r = 21 Combine like terms: 6r + -12r = -6r 3 + -6r = 21 Solving 3 + -6r = 21 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6r = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -6r = 21 + -3 -6r = 21 + -3 Combine like terms: 21 + -3 = 18 -6r = 18 Divide each side by '-6'. r = -3 Simplifying r = -3
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